Mickb 02 Jan 2018, 10:46
when solving the right hand side of an equation (fluid flow )
from
`sqrt(25/(1-(x^4/0.1^4)))
goes to
`-sqrt(25/(1-10000X^4))`
this is probably a fairly basic rule but how is this done please (confused !)
6. Multiplication and Division of Fractions
i dont understand how to move the equation to go from one to the other form
X
when solving the right hand side of an equation (fluid flow ) from `sqrt(25/(1-(x^4/0.1^4))) goes to `-sqrt(25/(1-10000X^4))` this is probably a fairly basic rule but how is this done please (confused !)
Relevant page <a href="https://www.intmath.com/factoring-fractions/6-multiplication-division-fractions.php">6. Multiplication and Division of Fractions</a> What I've done so far i dont understand how to move the equation to go from one to the other form
Murray 02 Jan 2018, 19:05
@Mickb
(1) I edited your question to use the math input system, so it's easier for everyone to read and follow. (You can click on "Show code" to see how I did it.)
(2) Your original question had a minus before the second line of working, which I retained in your question in order to point out it's dangerous to use "-" as a line starter in mathematics!
(3) Your original question has a lower case `x` in the first line and an upper case `X` in the second. This should also be avoided as they are not the same thing!
So the question should be
How does it become:
`sqrt(25/(1-10000x^4))`
To answer the question, let's consider this bit only first:
`x^4/0.1^4`
i. What is `0.1` as a fraction?
ii. What is `(0.1)^4` as a fraction?
iii. Can you complete: "Dividing by a fraction is equivalent to multiplying by its......" (Hint: See the page you came from: Multiplying and Dividing Fractions)
X
@Mickb (1) I edited your question to use the math input system, so it's easier for everyone to read and follow. (You can click on "Show code" to see how I did it.) (2) Your original question had a minus before the second line of working, which I retained in your question in order to point out it's dangerous to use "-" as a line starter in mathematics! (3) Your original question has a lower case `x` in the first line and an upper case `X` in the second. This should also be avoided as they are not the same thing! So the question should be How does it become: `sqrt(25/(1-10000x^4))` To answer the question, let's consider this bit only first: `x^4/0.1^4` i. What is `0.1` as a fraction? ii. What is `(0.1)^4` as a fraction? iii. Can you complete: "Dividing by a fraction is equivalent to multiplying by its......" (Hint: See the page you came from: <a href="https://www.intmath.com/factoring-fractions/6-multiplication-division-fractions.php">Multiplying and Dividing Fractions</a>)
Mickb 12 Jan 2018, 13:38
dividing by a fraction = multiply by the inverse
so
x^4 / 0.1^4
is
x^4 / 0.0001
=x^4 * 10000
therefore 10000 x^4
simps!
thank you
X
dividing by a fraction = multiply by the inverse so x^4 / 0.1^4 is x^4 / 0.0001 =x^4 * 10000 therefore 10000 x^4 simps! thank you
X
Great - glad you've got it now.
You need to be logged in to reply.